Geodesic
On levels of the one-dimensional discrete Schr\"odinger operator with a decreasing small potential
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 29 (2004) no. 1, pp. 85-94

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We consider a one-dimensional discrete Schrödinger operator with a decreasing small potential. The existence of the unique level (eigenvalue or resonanse) near the boundary points $\pm 2$ of the essential spectrum is proved. We investigate the asymptotic behaviour of these levels. 
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     title = {On levels of the one-dimensional discrete {Schr\"odinger} operator with a decreasing small potential},
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L. E. Morozova; Yu. P. Chuburin. On levels of the one-dimensional discrete Schr\"odinger operator with a decreasing small potential. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 29 (2004) no. 1, pp. 85-94. http://geodesic.mathdoc.fr/item/IIMI_2004_29_1_a3/